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Finding the Fourth Proportional to 383,770.80, 575,656.20 and 304,455.60

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Solution

The fourth proportional to 383,770.80, 575,656.20 and 304,455.60 is: 456,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,770.80 : 575,656.20 = 304,455.60 : x
  2. Step 2: Convert to fraction form
    383,770.80/575,656.20 = 304,455.60/x
  3. Step 3: Cross multiply
    383,770.80x = 575,656.20 × 304,455.60
  4. Step 4: Simplify right side
    383,770.80x = 175,261,753,764.72
  5. Step 5: Solve for x
    x = 175,261,753,764.72/383,770.80
  6. Step 6: Final answer
    x = 456,683.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.